Details

Time bar (total: 17.5s)

sample48.0ms

Algorithm
intervals
Results
24.0ms321×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 8 (1.6s)

IterNodesCost
01417
12517
24617
39517
415417
522417
634917
775517
8261115
done500015

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
0.0b
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.3b
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt times-frac
7×add-log-exp
5×add-exp-log frac-add add-cbrt-cube
4×associate-*l/ associate-/l/
3×pow1 flip3-+ associate-/r* flip-+ associate-/l*
2×+-commutative flip3-- sum-log flip-- distribute-lft-out
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 58
Calls
3 calls:
148.0ms
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
18.0ms
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
69.0ms
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series167.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
30.0ms
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
57.0ms
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify2.3s

Counts
67 → 67
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01331266
13541207
210281119
333181101
done50001101

prune251.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
0.0b
(- (/ 2.0 t) 2.0)
0.0b
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.6b
(/ 2.0 (* t z))

rewrite537.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-log-exp
11×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×frac-add
7×sum-log distribute-lft-out
6×add-cube-cbrt
4×pow1 times-frac
3×flip3-- flip3-+ diff-log flip-- flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv +-commutative associate-+r- sub-neg associate-+r+ div-exp difference-of-squares
1×associate-+l- associate-+l+ frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
438.0ms
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
25.0ms
(- (/ 2.0 t) 2.0)
64.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
8.0ms
(/ 2.0 (* t z))

series202.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
50.0ms
(- (/ 2.0 t) 2.0)
35.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
31.0ms
(/ 2.0 (* t z))

simplify908.0ms

Counts
89 → 89
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
01521463
14111364
214491298
done50001254

prune359.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
0.0b
(- (/ 2.0 t) 2.0)
0.0b
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
0.2b
(/ (/ 2.0 t) z)

rewrite789.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
62×*-un-lft-identity
51×add-sqr-sqrt
46×add-cube-cbrt
20×add-log-exp
13×associate-/l*
9×add-exp-log add-cbrt-cube
8×frac-add
7×sum-log distribute-lft-out
5×div-inv
4×pow1
3×cbrt-undiv flip3-- flip3-+ diff-log div-exp associate-/r* flip-- flip-+ distribute-lft-out--
2×+-commutative associate-+r- sub-neg associate-+r+ difference-of-squares
1×associate-+l- associate-+l+ frac-2neg clear-num associate-/l/
Counts
4 → 126
Calls
4 calls:
604.0ms
(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
31.0ms
(- (/ 2.0 t) 2.0)
132.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
11.0ms
(/ (/ 2.0 t) z)

series231.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
56.0ms
(- (/ 2.0 t) 2.0)
49.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
39.0ms
(/ (/ 2.0 t) z)

simplify1.3s

Counts
138 → 138
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02542128
16211975
217611903
done50001871

prune527.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (/ t (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))))
0.3b
(sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
0.3b
(sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
0.3b
(/ t (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
168×add-sqr-sqrt
166×add-cube-cbrt *-un-lft-identity
162×sqrt-prod
44×sqrt-div
33×associate-/r/
32×associate-/r*
22×associate-*l/ frac-add
11×add-exp-log flip3-- flip3-+ add-cbrt-cube flip-- flip-+
9×div-inv associate-/l*
6×pow1
4×cbrt-undiv div-exp associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 284
Calls
4 calls:
157.0ms
(/ (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (/ t (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))))
51.0ms
(sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
55.0ms
(sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
36.0ms
(/ t (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (/ t (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))))
114.0ms
(sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
92.0ms
(sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
153.0ms
(/ t (sqrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))

simplify2.1s

Counts
296 → 296
Iterations

Useful iterations: done (2.1s)

IterNodesCost
037811554
182110456
226309602
done50029157

prune900.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s10566×body80valid